Concept explainers
(II) A very long solid nonconducting cylinder of radius R1 is uniformly charged with a charge density ρE. It is surrounded by a concentric cylindrical tube of inner radius R2 and outer radius R3 as shown in Fig. 22–36, and it too carries a uniform charge density ρE. Determine the electric field as a function of the distance R from the center of the cylinders for (a) 0 < R < R1, (b) R1 < R < R2, (c) R2 < R < R3, and (d) R > R3. (e) If ρE = 15 μC/m3 and
FIGURE 22–36 Problem 38.
Want to see the full answer?
Check out a sample textbook solutionChapter 22 Solutions
PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
Additional Science Textbook Solutions
The Cosmic Perspective (8th Edition)
Modern Physics
College Physics
Tutorials in Introductory Physics
University Physics with Modern Physics (14th Edition)
An Introduction to Thermal Physics
- (iv)arrow_forward6 In Fig. 22-27, two identical circu- lar nonconducting rings are centered on the same line with their planes perpendicular to the line. Each ring has charge that is uniformly distrib- uted along its circumference. The rings each produce electric fields at points along the line. For three situations, the charges on rings A and B are, respectively, (1) qo and 9o, (2) -90 and -90, and (3) - and qo. Rank the situations according to the magnitude of the net electric field at (a) point P1 midway between the rings, (b) point P, at the center of ring B, and (c) point P3 to the right of ring B. greatest first. P, P3 Ring A Ring B Figure 22-27 Question 6.arrow_forward2) In Fig. 23-45, a small circular hole of radius R = 1.80 cm has een cut in the middle of an infinite, flat, nonconducting surface hat has uniform charge density o=4.50 pC/m². A z axis, with its rigin at the hole's center, is perpendicular to the surface. In unit- ector notation, what is the electric field at point P at z = 2.56 cm? Hint: See Eq. 22-26 and use superposition.) X X X X X X X X X X X X X X X X X XX X X X X 15 X XXX Z Figure 23-45 X X X X X X X X X X X X X X X X X X X X X X X X X X X Xarrow_forward
- The electric field everywhere on the surface of a charged sphere of radius 0.204 m has a magnitude of 510 N/C and points radially outward from th center of the sphere. (a) What is the net charge on the sphere? ]nc (b) What can you conclude about the nature and distribution of charge inside the sphere? Thie anewer hae not hean graded vetarrow_forward(II) The 1/r² form of Coulomb's law implies the following: (i) The electric field is zero at all points inside a uniformly charged shell. (ii) The electric field outside a uniformly charged sphere can be found by treating the charge as being concentrated at the center. Use these facts to show that within a uniformly charged sphere of radius R having a volume charge density p C/m³, the field strength increases linearly with the distance r from the center. That is, Ex r for r < R.arrow_forwardIgnore work donearrow_forward
- (II) The l/r2 form of Coulomb's law implies the following: (i) The electric field is zero at all points inside a uniformly charged shell. (ii) The electric field outside a uniformly charged sphere can be found by treating the charge as being concentrated at the center. Use these facts to show that within a uniformly charged sphere of radius R having a volume charge density p C/m3, the field strength increases linearly with the distance r from the center. That is, E ex r for r < R.arrow_forwardA very thin filament of uniform linear charge density "A" is located on the x-axis from x=0 to x=a. Prove that the components of the electric field at a point P on the y-axis, located at the distance "y" from the origin are:Ex = -k^(1/y-1/√/y² + a²) i, Ey = kha/y√/y² + a²)]arrow_forward-24 Figure 23-40 shows a section of a long, thin-walled metal tube of radius R= 3.00 cm, with a charge per unit length of A = 2.00 x 10-8 C/m. What is the magnitude E of the electric field at radial distance (a) r= R2.00 and (b) r= 2.00R? (c) Graph E versus r for the range r = 0 to 2.00R.arrow_forward
- Please Asaparrow_forwardA charge of 30C is distributed uniformly a spherical volume of radius 10.0 cm. Determine the electric field due to this charge at a distance of (a) 2.0 cm, (b) 5.0 cm, and (c) 20.0 cm from the center of the sphere.arrow_forward(Figure 1)A slab of insulating material of uniform thickness d, lying between -d/2 to +d/2 along the x axis, extends infinitely in the y and z directions, as shown in the figure. The slab has a uniform charge density p. The electric field is zero in the middle of the slab, at z = 0. Figure x=+d/2 x=0 x= -d/2 1 of 2 0 -1.57 rad Submit ✓ Correct Part C What is Eout, the magnitude of the electric field outside the slab? As implied by the fact that Eout is not given as a function of, this magnitude is constant everywhere outside the slab, not just at the surface. Express your answer in terms of d, p, and . ► View Available Hint(s) pd Eout = 2€0 Previous Answers Submit Previous Answers ✓ Correct Part D What is Ein (2), the magnitude of the electric field inside the slab as a function of z? ▸ View Available Hint(s) Ein (2) = Submit |VL]ΑΣΦ ?arrow_forward